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Finding the Third Proportional to 4,142,546,205 and 9,087,110,688

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Solution

The third proportional to 4,142,546,205 and 9,087,110,688 is: 19,933,532,800.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142,546,205 : 9,087,110,688 = 9,087,110,688 : x
  2. Step 2: Convert to fraction form
    4,142,546,205/9,087,110,688 = 9,087,110,688/x
  3. Step 3: Cross multiply
    4,142,546,205x = 9,087,110,688 × 9,087,110,688
  4. Step 4: Simplify right side
    4,142,546,205x = 82,575,580,655,963,832,320
  5. Step 5: Solve for x
    x = 82,575,580,655,963,832,320/4,142,546,205
  6. Step 6: Final answer
    x = 19,933,532,800.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.